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ElenaW [278]
3 years ago
11

Consider the exponential function f(x) =1/5(15x). What is the value of the growth factor of the function?

Mathematics
2 answers:
cluponka [151]3 years ago
6 0

we know that

An exponential function is a function where the input, x, appears in the exponent.

the equation of an exponential function usually looks like:

y=ab^{x}

where

a is a number called the initial value

b is a number called the growth factor

In this problem

we have

f(x) =\frac{1}{5}(15^{x})

where

\frac{1}{5} -------> is the initial value

15 ------> is the growth factor

therefore

the answer is the option

D. 15

Gemiola [76]3 years ago
3 0
The answer is 100% D - 15
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an open box is to be made from a two-foot by three-foot rectangular piece of metal by cutting equal squares from the corners and
tensa zangetsu [6.8K]

The volume for the largest box will be 1.056 foot³. This can find out by application of differentiation.

What is AOD?

AOD is nothing but application of differentiation. It implies scopes where we can use differentiation to make our calculations easy.

Here, given

Length and breadth = 2,3 foot

Let us consider length of side of square = x

So, after cutting squares left sides of rectangular sheet = 2-2x , 3-2x

So, volume = (2-2x)*(3-2x)*x

                v = 4x³ - 10x² + 6x

To find largest volume , \frac{dv}{dx} = 0

                 \frac{dv}{dx} = 12x² - 20x + 6

                12x² - 20x + 6 = 0

                x = 0.4 , 1.3

But, for 1.3 volume will be negative i.e. not possible.

So, volume = 2.2*1.2*0.4

                   = 1.056 foot³

Learn more about differentiation from given link:

brainly.com/question/954654

#SPJ4        

5 0
8 months ago
PLEASE DON'T GUESS I NEED TO GET THIS RIGHT!!!!!!!!!
jasenka [17]
Well if Bob (represented by x) is three years older than Bill (y), the only one correct is x=y+3. Dividing by three wouldn't make sense (choice A), adding three more years onto Bob won't work (choice B), and multiplying Bob's age by three wouldn't work either (choice D). The answer is choice C. 
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3 years ago
Help with this math question please
Leni [432]
So when you have a -(-) then you make that a positive so that would mean - (+) so the two - - are positive and just one - is still negative, which would mean that the answer is -3. Because if the negative is greater that the positive then it is still a negative, in your mind you should make 13 positive minus 10 and then add the negative to make things easier if you want to.
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3 years ago
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Ashley is attending a hockey game that consists of 3 periods. If it is halfway through the third period right now, what fraction
Dennis_Churaev [7]

Answer:

\frac{1}{6} of the game is left.

Step-by-step explanation:

A hockey game has 3 periods.

Now, it is halfway through two periods, which means that 2 + 0.5 = 2.5 periods have been played.

Amount remaining:

Total of 100% = 1, subtracted by the fraction played, which is 2.5 of 3 = 5 of 6. So

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6 0
3 years ago
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